Recent content by viciousp

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    Discover the Difference Between 1,3-Butene and Butene Today!

    It is actually 1,3-butadiene
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    Proving Symmetry of A \cdot A^{T} with Simple Tensor Proof

    Cool, thanks so much for your help
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    Proving Symmetry of A \cdot A^{T} with Simple Tensor Proof

    I think I agree with your second statement: B_{li}=\sum_{j}A_{lj}A_{ij} In my books notation that would be: \sum_{ilj}A_{lj}A_{ij}e_{i}e_{l}=\sum_{ilj}A_{ij}A_{lj}e_{i}e_{l}=A \cdot A^{T} Since A_{ij} is just a constant it can be rearranged. correct?
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    Proving Symmetry of A \cdot A^{T} with Simple Tensor Proof

    So would that mean that the transpose of AijBlj= BijAlj, but since they are both A in this case you get AijAjl?
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    Proving Symmetry of A \cdot A^{T} with Simple Tensor Proof

    While I do not disagree with you, and using your method does seem to give me the correct answer my book explicitly states that given a tensor \tau: \tau=\sum_{ij}\tau_{ij}e_{i}e_{j} then \tau^{T}=\sum_{ij}\tau_{ji}e_{i}e_{j} I am assuming this means that the transpose would be when you only...
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    Proving Symmetry of A \cdot A^{T} with Simple Tensor Proof

    correct, based off my notation ei and ej represent the tensors and Aij represents the coeffiecent of the tensor. The problem lies I feel in what the coefficient should be when you take the transpose. I get AljAij as my transpose coeffiecent, but it should be equivalent to AijAlj, and I am not...
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    Proving Symmetry of A \cdot A^{T} with Simple Tensor Proof

    My understanding for my transport book is that coefficient is effected by transposition, which is what I showed. The notation I am using corresponds pretty similarly to what is presented here: http://www.foamcfd.org/Nabla/guides/ProgrammersGuidese3.html With the e's representing the tensor...
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    Proving Symmetry of A \cdot A^{T} with Simple Tensor Proof

    I guess I will clear up some of my notation since I don't think a Dirac delta comes into place here. The e in this case represents the unit dydas, and delta is a standard Kronecker delta. So form the start: \bar{} \sum_{ij} A_{ij}e_{i}e_{j}\cdot...
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    Proving Symmetry of A \cdot A^{T} with Simple Tensor Proof

    Anyone else have an idea?
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    Proving Symmetry of A \cdot A^{T} with Simple Tensor Proof

    the deltas represent the unit dydas (according to the book I am using) and I agree with your matrix product however the other A is transpose so I would think it would be the sum over A_ij*A_kj which is essentially what I wrote in my original post.
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    Proving Symmetry of A \cdot A^{T} with Simple Tensor Proof

    Homework Statement Show that A \cdot A^{T} is symmetric (A is a 2nd order tensor) Homework Equations The Attempt at a Solution So I got down to this and i can see that it will be symmetric however when I try taking the transpose of the solution I can't seem to make it equal...
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    Weight of a Box between two fluids of different densities

    Ahh, I see thanks now it makes sense.
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    Weight of a Box between two fluids of different densities

    So the only thing I can think of is the pressure of the top liquid acting on the bottom liquid, as well as the buoyancy of the bottom liquid with respect to the top liquid. Im assuming these two forces are equal to each other Fb= (h1+h0)A*p1. If I include the buoyancy of liquid 2 on liquid 1...
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    Weight of a Box between two fluids of different densities

    Homework Statement A box with a height L, and a cross sectional Area A is floating between two fluids of densities p1 and p2. Determine the mass of the box using ho, h1, h2, p1, p2, and A. Homework Equations F= pVg The Attempt at a Solution In the file attached I drew my free...
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    Solve Mass Homework w/ Pullys: Is it Uniform?

    Homework Statement You've been given a pulley for your birthday. It is a fairly big pulley 12 cm in diameter and with mass 2kg. You get to wondering if the pulley is uniform. To find out, you hang a 1kg textbook 1.0 meters above the floor and use a stopwatch to measure the time it takes it to...